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Finding the Fourth Proportional to 33.20, 45.77 and 27.71

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Solution

The fourth proportional to 33.20, 45.77 and 27.71 is: 38.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.20 : 45.77 = 27.71 : x
  2. Step 2: Convert to fraction form
    33.20/45.77 = 27.71/x
  3. Step 3: Cross multiply
    33.20x = 45.77 × 27.71
  4. Step 4: Simplify right side
    33.20x = 1,267.92
  5. Step 5: Solve for x
    x = 1,267.92/33.20
  6. Step 6: Final answer
    x = 38.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.